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5131983120 = 24351117412789
BaseRepresentation
bin1001100011110001…
…11101100100010000
3111020122201202100220
410301320331210100
541002241424440
62205124113040
7241114064625
oct46170754420
914218652326
105131983120
1121a3963970
12bb2835780
1363a2bcc04
1436981a34c
152008278d0
hex131e3d910

5131983120 has 320 divisors, whose sum is σ = 18831294720. Its totient is φ = 1141964800.

The previous prime is 5131983107. The next prime is 5131983167. The reversal of 5131983120 is 213891315.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1838686 + ... + 1841474.

It is an arithmetic number, because the mean of its divisors is an integer number (58847796).

Almost surely, 25131983120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415647360).

5131983120 is an abundant number, since it is smaller than the sum of its proper divisors (13699311600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5131983120 is a wasteful number, since it uses less digits than its factorization.

5131983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 5131983120 is about 71637.8609395898. The cubic root of 5131983120 is about 1724.8913319489.

The spelling of 5131983120 in words is "five billion, one hundred thirty-one million, nine hundred eighty-three thousand, one hundred twenty".